Bouncing Spring Problem: A weight attached to the end of a long spring is bouncing up and down. As it bounces, its distance from the floor varies sinusoidally with time. You start a stopwatch. When the stopwatch reads 0.3 s, the weight first reaches a high point 60 cm above the floor. The next low point, 40 cm above the floor, occurs at 1.8 s.
a.
Sketch the graph of this sinusoidal function.
b.
Find a particular equation for distance from the floor as a function of time.
c.
What is the distance from the floor when the stopwatch reads 17.2 s?
d.
What was the distance from the floor when you started the stopwatch?
e.
What is the first positive value of time when the weight is 59 cm above the floor?
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